src/Pure/library.ML
author nipkow
Mon, 08 Aug 2005 12:15:03 +0200
changeset 17032 3e41d98bf6d4
parent 17028 a497f621bfd4
child 17061 1df7ad3a6082
permissions -rw-r--r--
fixed typo in ratadd
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
41
97aae241094b added cons, rcons, last_elem, sort_strings, take_suffix;
wenzelm
parents: 24
diff changeset
     1
(*  Title:      Pure/library.ML
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     2
    ID:         $Id$
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
     3
    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
     4
    Author:     Markus Wenzel, TU Muenchen
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     5
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
     6
Basic library: functions, options, pairs, booleans, lists, integers,
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
     7
rational numbers, strings, lists as sets, association lists, generic
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
     8
tables, balanced trees, orders, current directory, misc.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     9
*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    10
16842
wenzelm
parents: 16825
diff changeset
    11
infix |> |-> ||> ||>> |>> |>>> #> #-> ~~ \ \\ ins ins_string ins_int
wenzelm
parents: 16825
diff changeset
    12
  orf andf prefix upto downto mem mem_int mem_string union union_int
wenzelm
parents: 16825
diff changeset
    13
  union_string inter inter_int inter_string subset subset_int
wenzelm
parents: 16825
diff changeset
    14
  subset_string;
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
    15
6510
b5ef6d115b45 added oooo;
wenzelm
parents: 6312
diff changeset
    16
infix 3 oo ooo oooo;
5893
c755dfd02509 added oo, ooo (*concatenation: 2 and 3 args*);
wenzelm
parents: 5285
diff changeset
    17
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
    18
signature BASIC_LIBRARY =
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    19
sig
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    20
  (*functions*)
16842
wenzelm
parents: 16825
diff changeset
    21
  val I: 'a -> 'a
wenzelm
parents: 16825
diff changeset
    22
  val K: 'a -> 'b -> 'a
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    23
  val curry: ('a * 'b -> 'c) -> 'a -> 'b -> 'c
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    24
  val uncurry: ('a -> 'b -> 'c) -> 'a * 'b -> 'c
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    25
  val |> : 'a * ('a -> 'b) -> 'b
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
    26
  val |-> : ('c * 'a) * ('c -> 'a -> 'b) -> 'b
16780
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    27
  val ||> : ('c * 'a) * ('a -> 'b) -> 'c * 'b
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    28
  val ||>> : ('c * 'a) * ('a -> 'd * 'b) -> ('c * 'd) * 'b
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
    29
  val |>> : ('a * 'c) * ('a -> 'b) -> 'b * 'c
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
    30
  val |>>> : ('a * 'c) * ('a -> 'b * 'd) -> 'b * ('c * 'd)
16780
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    31
  val #> : ('a -> 'b) * ('b -> 'c) -> 'a -> 'c
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
    32
  val #-> : ('a -> 'c * 'b) * ('c -> 'b -> 'd) -> 'a -> 'd
16825
0a28f033de03 added ` combinator
haftmann
parents: 16780
diff changeset
    33
  val ` : ('b -> 'a) -> 'b -> 'a * 'b
16721
wenzelm
parents: 16705
diff changeset
    34
  val oo: ('a -> 'b) * ('c -> 'd -> 'a) -> 'c -> 'd -> 'b
wenzelm
parents: 16705
diff changeset
    35
  val ooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'a) -> 'c -> 'd -> 'e -> 'b
wenzelm
parents: 16705
diff changeset
    36
  val oooo: ('a -> 'b) * ('c -> 'd -> 'e -> 'f -> 'a) -> 'c -> 'd -> 'e -> 'f -> 'b
16842
wenzelm
parents: 16825
diff changeset
    37
  val funpow: int -> ('a -> 'a) -> 'a -> 'a
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    38
  val apl: 'a * ('a * 'b -> 'c) -> 'b -> 'c
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    39
  val apr: ('a * 'b -> 'c) * 'b -> 'a -> 'c
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
    40
15670
963cd3f7976c invalidated former constructors None/OPTION to prevent accidental use as match-all patterns!
wenzelm
parents: 15570
diff changeset
    41
  (*old options -- invalidated*)
963cd3f7976c invalidated former constructors None/OPTION to prevent accidental use as match-all patterns!
wenzelm
parents: 15570
diff changeset
    42
  datatype invalid = None of invalid
963cd3f7976c invalidated former constructors None/OPTION to prevent accidental use as match-all patterns!
wenzelm
parents: 15570
diff changeset
    43
  exception OPTION of invalid
963cd3f7976c invalidated former constructors None/OPTION to prevent accidental use as match-all patterns!
wenzelm
parents: 15570
diff changeset
    44
15970
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    45
  (*options*)
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    46
  val the: 'a option -> 'a
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    47
  val if_none: 'a option -> 'a -> 'a
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    48
  val is_some: 'a option -> bool
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    49
  val is_none: 'a option -> bool
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
    50
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
    51
  exception ERROR
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
    52
  val try: ('a -> 'b) -> 'a -> 'b option
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    53
  val can: ('a -> 'b) -> 'a -> bool
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    54
  datatype 'a result = Result of 'a | Exn of exn
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    55
  val capture: ('a -> 'b) -> 'a -> 'b result
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    56
  val release: 'a result -> 'a
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    57
  val get_result: 'a result -> 'a option
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
    58
  val get_exn: 'a result -> exn option
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    59
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    60
  (*pairs*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    61
  val pair: 'a -> 'b -> 'a * 'b
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    62
  val rpair: 'a -> 'b -> 'b * 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    63
  val fst: 'a * 'b -> 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    64
  val snd: 'a * 'b -> 'b
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    65
  val eq_fst: (''a * 'b) * (''a * 'c) -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    66
  val eq_snd: ('a * ''b) * ('c * ''b) -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    67
  val swap: 'a * 'b -> 'b * 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    68
  val apfst: ('a -> 'b) -> 'a * 'c -> 'b * 'c
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    69
  val apsnd: ('a -> 'b) -> 'c * 'a -> 'c * 'b
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    70
  val pairself: ('a -> 'b) -> 'a * 'a -> 'b * 'b
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    71
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    72
  (*booleans*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    73
  val equal: ''a -> ''a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    74
  val not_equal: ''a -> ''a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    75
  val orf: ('a -> bool) * ('a -> bool) -> 'a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    76
  val andf: ('a -> bool) * ('a -> bool) -> 'a -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    77
  val exists: ('a -> bool) -> 'a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    78
  val forall: ('a -> bool) -> 'a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    79
  val set: bool ref -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    80
  val reset: bool ref -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    81
  val toggle: bool ref -> bool
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
    82
  val change: 'a ref -> ('a -> 'a) -> unit
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    83
  val setmp: 'a ref -> 'a -> ('b -> 'c) -> 'b -> 'c
11853
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
    84
  val conditional: bool -> (unit -> unit) -> unit
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    85
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    86
  (*lists*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    87
  exception UnequalLengths
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
    88
  val cons: 'a -> 'a list -> 'a list
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
    89
  val single: 'a -> 'a list
4629
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
    90
  val append: 'a list -> 'a list -> 'a list
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
    91
  val apply: ('a -> 'a) list -> 'a -> 'a
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
    92
  val fold: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b
15035
8c57751cd43f added fold_rev: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b;
wenzelm
parents: 14981
diff changeset
    93
  val fold_rev: ('a -> 'b -> 'b) -> 'a list -> 'b -> 'b
16869
bc98da5727be reverted from fold_yield to fold_map
haftmann
parents: 16842
diff changeset
    94
  val fold_map: ('a -> 'b -> 'c * 'b) -> 'a list -> 'b -> 'c list * 'b
4956
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
    95
  val foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
    96
  val foldr1: ('a * 'a -> 'a) -> 'a list -> 'a
11002
e33dfe9bde39 added foldln
oheimb
parents: 10951
diff changeset
    97
  val foldln: ('a * int -> 'b -> 'b) -> 'a list -> 'b -> 'b
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
    98
  val unflat: 'a list list -> 'b list -> 'b list list
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
    99
  val splitAt: int * 'a list -> 'a list * 'a list
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   100
  val dropwhile: ('a -> bool) -> 'a list -> 'a list
11773
983d2db52062 map_nth_elem;
wenzelm
parents: 11514
diff changeset
   101
  val map_nth_elem: int -> ('a -> 'a) -> 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   102
  val split_last: 'a list -> 'a list * 'a
4893
df9d6eef16d5 added nth_update: 'a -> int * 'a list -> 'a list;
wenzelm
parents: 4849
diff changeset
   103
  val nth_update: 'a -> int * 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   104
  val find_index: ('a -> bool) -> 'a list -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   105
  val find_index_eq: ''a -> ''a list -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   106
  val find_first: ('a -> bool) -> 'a list -> 'a option
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   107
  val get_first: ('a -> 'b option) -> 'a list -> 'b option
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   108
  val separate: 'a -> 'a list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   109
  val replicate: int -> 'a -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   110
  val multiply: 'a list * 'a list list -> 'a list list
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   111
  val product: 'a list -> 'b list -> ('a * 'b) list
16129
6fa9ace50240 export filter;
wenzelm
parents: 15970
diff changeset
   112
  val filter: ('a -> bool) -> 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   113
  val filter_out: ('a -> bool) -> 'a list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   114
  val map2: ('a * 'b -> 'c) -> 'a list * 'b list -> 'c list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   115
  val exists2: ('a * 'b -> bool) -> 'a list * 'b list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   116
  val forall2: ('a * 'b -> bool) -> 'a list * 'b list -> bool
4956
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
   117
  val seq2: ('a * 'b -> unit) -> 'a list * 'b list -> unit
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   118
  val ~~ : 'a list * 'b list -> ('a * 'b) list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   119
  val split_list: ('a * 'b) list -> 'a list * 'b list
7468
6ce03d2f7d91 equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool;
wenzelm
parents: 7090
diff changeset
   120
  val equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   121
  val prefix: ''a list * ''a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   122
  val take_prefix: ('a -> bool) -> 'a list -> 'a list * 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   123
  val take_suffix: ('a -> bool) -> 'a list -> 'a list * 'a list
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   124
  val prefixes1: 'a list -> 'a list list
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   125
  val suffixes1: 'a list -> 'a list list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   126
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   127
  (*integers*)
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   128
  val gcd: IntInf.int * IntInf.int -> IntInf.int
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   129
  val lcm: IntInf.int * IntInf.int -> IntInf.int
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   130
  val inc: int ref -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   131
  val dec: int ref -> int
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   132
  val upto: int * int -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   133
  val downto: int * int -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   134
  val downto0: int list * int -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   135
  val radixpand: int * int -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   136
  val radixstring: int * string * int -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   137
  val string_of_int: int -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   138
  val string_of_indexname: string * int -> string
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   139
  val read_radixint: int * string list -> int * string list
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   140
  val read_int: string list -> int * string list
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   141
  val oct_char: string -> string
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   142
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   143
  (*rational numbers*)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   144
  type rat
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   145
  exception RAT of string
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   146
  val rep_rat: rat -> IntInf.int * IntInf.int
17028
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
   147
  val ratge0: rat -> bool
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
   148
  val ratgt0: rat -> bool
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
   149
  val ratle: rat * rat -> bool
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
   150
  val ratlt: rat * rat -> bool
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   151
  val ratadd: rat * rat -> rat
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   152
  val ratmul: rat * rat -> rat
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   153
  val ratinv: rat -> rat
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   154
  val int_ratdiv: IntInf.int * IntInf.int -> rat
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   155
  val ratneg: rat -> rat
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   156
  val rat_of_int: int -> rat
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   157
  val rat_of_intinf: IntInf.int -> rat
17028
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
   158
  val rat0: rat
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   159
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   160
  (*strings*)
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   161
  val nth_elem_string: int * string -> string
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   162
  val fold_string: (string -> 'a -> 'a) -> string -> 'a -> 'a
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   163
  val exists_string: (string -> bool) -> string -> bool
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   164
  val forall_string: (string -> bool) -> string -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   165
  val enclose: string -> string -> string -> string
6642
732af87c0650 strip_quotes replaced by unenclose;
wenzelm
parents: 6510
diff changeset
   166
  val unenclose: string -> string
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   167
  val quote: string -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   168
  val space_implode: string -> string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   169
  val commas: string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   170
  val commas_quote: string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   171
  val cat_lines: string list -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   172
  val space_explode: string -> string -> string list
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   173
  val split_lines: string -> string list
5942
9a7bf515fde1 std_output, prefix_lines;
wenzelm
parents: 5904
diff changeset
   174
  val prefix_lines: string -> string -> string
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   175
  val untabify: string list -> string list
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   176
  val suffix: string -> string -> string
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   177
  val unsuffix: string -> string -> string
15060
7b4abcfae4e1 Added function unprefix.
berghofe
parents: 15051
diff changeset
   178
  val unprefix: string -> string -> string
10951
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   179
  val replicate_string: int -> string -> string
14926
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   180
  val translate_string: (string -> string) -> string -> string
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   181
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   182
  (*lists as sets -- see also Pure/General/ord_list.ML*)
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   183
  val mem: ''a * ''a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   184
  val mem_int: int * int list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   185
  val mem_string: string * string list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   186
  val gen_mem: ('a * 'b -> bool) -> 'a * 'b list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   187
  val ins: ''a * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   188
  val ins_int: int * int list -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   189
  val ins_string: string * string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   190
  val gen_ins: ('a * 'a -> bool) -> 'a * 'a list -> 'a list
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   191
  val member: ('b * 'a -> bool) -> 'a list -> 'b -> bool
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   192
  val insert: ('a * 'a -> bool) -> 'a -> 'a list -> 'a list
16129
6fa9ace50240 export filter;
wenzelm
parents: 15970
diff changeset
   193
  val remove: ('b * 'a -> bool) -> 'b -> 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   194
  val union: ''a list * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   195
  val union_int: int list * int list -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   196
  val union_string: string list * string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   197
  val gen_union: ('a * 'a -> bool) -> 'a list * 'a list -> 'a list
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   198
  val gen_inter: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   199
  val inter: ''a list * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   200
  val inter_int: int list * int list -> int list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   201
  val inter_string: string list * string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   202
  val subset: ''a list * ''a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   203
  val subset_int: int list * int list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   204
  val subset_string: string list * string list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   205
  val eq_set: ''a list * ''a list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   206
  val eq_set_string: string list * string list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   207
  val gen_subset: ('a * 'b -> bool) -> 'a list * 'b list -> bool
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   208
  val \ : ''a list * ''a -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   209
  val \\ : ''a list * ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   210
  val gen_rem: ('a * 'b -> bool) -> 'a list * 'b -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   211
  val gen_rems: ('a * 'b -> bool) -> 'a list * 'b list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   212
  val gen_distinct: ('a * 'a -> bool) -> 'a list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   213
  val distinct: ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   214
  val findrep: ''a list -> ''a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   215
  val gen_duplicates: ('a * 'a -> bool) -> 'a list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   216
  val duplicates: ''a list -> ''a list
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   217
  val has_duplicates: ('a * 'a -> bool) -> 'a list -> bool
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   218
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   219
  (*association lists*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   220
  val assoc: (''a * 'b) list * ''a -> 'b option
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   221
  val assoc_int: (int * 'a) list * int -> 'a option
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   222
  val assoc_string: (string * 'a) list * string -> 'a option
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   223
  val assoc_string_int: ((string * int) * 'a) list * (string * int) -> 'a option
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   224
  val assocs: (''a * 'b list) list -> ''a -> 'b list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   225
  val assoc2: (''a * (''b * 'c) list) list * (''a * ''b) -> 'c option
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   226
  val gen_assoc: ('a * 'b -> bool) -> ('b * 'c) list * 'a -> 'c option
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   227
  val overwrite: (''a * 'b) list * (''a * 'b) -> (''a * 'b) list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   228
  val gen_overwrite: ('a * 'a -> bool) -> ('a * 'b) list * ('a * 'b) -> ('a * 'b) list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   229
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   230
  (*lists as tables*)
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   231
  val gen_merge_lists: ('a * 'a -> bool) -> 'a list -> 'a list -> 'a list
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   232
  val gen_merge_lists': ('a * 'a -> bool) -> 'a list -> 'a list -> 'a list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   233
  val merge_lists: ''a list -> ''a list -> ''a list
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   234
  val merge_lists': ''a list -> ''a list -> ''a list
4692
748f4e365d14 added merge_alists;
wenzelm
parents: 4630
diff changeset
   235
  val merge_alists: (''a * 'b) list -> (''a * 'b) list -> (''a * 'b) list
15263
b40e91201039 Added function merge_alists'.
berghofe
parents: 15060
diff changeset
   236
  val merge_alists': (''a * 'b) list -> (''a * 'b) list -> (''a * 'b) list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   237
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   238
  (*balanced trees*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   239
  exception Balance
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   240
  val fold_bal: ('a * 'a -> 'a) -> 'a list -> 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   241
  val access_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> int -> 'a
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   242
  val accesses_bal: ('a -> 'a) * ('a -> 'a) * 'a -> int -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   243
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   244
  (*orders*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   245
  val rev_order: order -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   246
  val make_ord: ('a * 'a -> bool) -> 'a * 'a -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   247
  val int_ord: int * int -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   248
  val string_ord: string * string -> order
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
   249
  val fast_string_ord: string * string -> order
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   250
  val option_ord: ('a * 'b -> order) -> 'a option * 'b option -> order
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   251
  val prod_ord: ('a * 'b -> order) -> ('c * 'd -> order) -> ('a * 'c) * ('b * 'd) -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   252
  val dict_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   253
  val list_ord: ('a * 'b -> order) -> 'a list * 'b list -> order
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   254
  val sort: ('a * 'a -> order) -> 'a list -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   255
  val sort_strings: string list -> string list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   256
  val sort_wrt: ('a -> string) -> 'a list -> 'a list
11514
a12def3d1847 Added function unique_strings.
berghofe
parents: 11021
diff changeset
   257
  val unique_strings: string list -> string list
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   258
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   259
  (*random numbers*)
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   260
  exception RANDOM
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   261
  val random: unit -> real
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   262
  val random_range: int -> int -> int
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   263
  val one_of: 'a list -> 'a
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   264
  val frequency: (int * 'a) list -> 'a
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
   265
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   266
  (*current directory*)
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   267
  val cd: string -> unit
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   268
  val pwd: unit -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   269
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   270
  (*misc*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   271
  val make_keylist: ('a -> 'b) -> 'a list -> ('a * 'b) list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   272
  val keyfilter: ('a * ''b) list -> ''b -> 'a list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   273
  val partition_eq: ('a * 'a -> bool) -> 'a list -> 'a list list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   274
  val partition_list: (int -> 'a -> bool) -> int -> int -> 'a list -> 'a list list
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   275
  val gensym: string -> string
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   276
  val scanwords: (string -> bool) -> string list -> string list
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   277
  type stamp
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   278
  val stamp: unit -> stamp
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   279
  type serial
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   280
  val serial: unit -> serial
16535
86c9eada525b added structure Object (from Pure/General/object.ML);
wenzelm
parents: 16492
diff changeset
   281
  structure Object: sig type T end
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   282
end;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
   283
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
   284
signature LIBRARY =
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   285
sig
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
   286
  include BASIC_LIBRARY
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   287
  val foldl: ('a * 'b -> 'a) -> 'a * 'b list -> 'a
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   288
  val foldr: ('a * 'b -> 'b) -> 'a list * 'b -> 'b
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   289
  val take: int * 'a list -> 'a list
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   290
  val drop: int * 'a list -> 'a list
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   291
  val nth_elem: int * 'a list -> 'a
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   292
  val last_elem: 'a list -> 'a
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   293
  val flat: 'a list list -> 'a list
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   294
  val seq: ('a -> unit) -> 'a list -> unit
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   295
  val partition: ('a -> bool) -> 'a list -> 'a list * 'a list
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   296
  val mapfilter: ('a -> 'b option) -> 'a list -> 'b list
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   297
end;
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   298
15745
33bb955b2e73 added gen_remove, remove;
wenzelm
parents: 15696
diff changeset
   299
structure Library: LIBRARY =
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1290
diff changeset
   300
struct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   301
4995
905cd6f73429 removed type object (see object.ML);
wenzelm
parents: 4956
diff changeset
   302
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   303
(** functions **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   304
16842
wenzelm
parents: 16825
diff changeset
   305
fun I x = x;
wenzelm
parents: 16825
diff changeset
   306
fun K x = fn _ => x;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   307
fun curry f x y = f (x, y);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   308
fun uncurry f (x, y) = f x y;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   309
16705
wenzelm
parents: 16694
diff changeset
   310
(*reverse application and structured results*)
wenzelm
parents: 16694
diff changeset
   311
fun x |> f = f x;
wenzelm
parents: 16694
diff changeset
   312
fun (x, y) |-> f = f x y;
wenzelm
parents: 16694
diff changeset
   313
fun (x, y) |>> f = (f x, y);
wenzelm
parents: 16694
diff changeset
   314
fun (x, y) ||> f = (x, f y);
wenzelm
parents: 16694
diff changeset
   315
fun (x, y) |>>> f = let val (x', z) = f x in (x', (y, z)) end;
wenzelm
parents: 16694
diff changeset
   316
fun (x, y) ||>> f = let val (z, y') = f y in ((x, z), y') end;
16842
wenzelm
parents: 16825
diff changeset
   317
wenzelm
parents: 16825
diff changeset
   318
(*reverse composition*)
16780
aa284c1b72ad fold_map -> fold_yield, added transformator combinators, added selector combinator
haftmann
parents: 16721
diff changeset
   319
fun f #> g = g o f;
16842
wenzelm
parents: 16825
diff changeset
   320
fun f #-> g = uncurry g o f;
wenzelm
parents: 16825
diff changeset
   321
wenzelm
parents: 16825
diff changeset
   322
(*view results*)
wenzelm
parents: 16825
diff changeset
   323
fun `f = fn x => (f x, x);
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   324
16721
wenzelm
parents: 16705
diff changeset
   325
(*composition with multiple args*)
wenzelm
parents: 16705
diff changeset
   326
fun (f oo g) x y = f (g x y);
wenzelm
parents: 16705
diff changeset
   327
fun (f ooo g) x y z = f (g x y z);
wenzelm
parents: 16705
diff changeset
   328
fun (f oooo g) x y z w = f (g x y z w);
wenzelm
parents: 16705
diff changeset
   329
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   330
(*function exponentiation: f(...(f x)...) with n applications of f*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   331
fun funpow n f x =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   332
  let fun rep (0, x) = x
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   333
        | rep (n, x) = rep (n - 1, f x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   334
  in rep (n, x) end;
160
80ccb6c354ba added equal, not_equal: ''a -> ''a -> bool
wenzelm
parents: 41
diff changeset
   335
16842
wenzelm
parents: 16825
diff changeset
   336
(*application of (infix) operator to its left or right argument*)
wenzelm
parents: 16825
diff changeset
   337
fun apl (x, f) y = f (x, y);
wenzelm
parents: 16825
diff changeset
   338
fun apr (f, y) x = f (x, y);
160
80ccb6c354ba added equal, not_equal: ''a -> ''a -> bool
wenzelm
parents: 41
diff changeset
   339
80ccb6c354ba added equal, not_equal: ''a -> ''a -> bool
wenzelm
parents: 41
diff changeset
   340
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   341
(** options **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   342
15670
963cd3f7976c invalidated former constructors None/OPTION to prevent accidental use as match-all patterns!
wenzelm
parents: 15570
diff changeset
   343
(*invalidate former constructors to prevent accidental use as match-all patterns!*)
963cd3f7976c invalidated former constructors None/OPTION to prevent accidental use as match-all patterns!
wenzelm
parents: 15570
diff changeset
   344
datatype invalid = None of invalid;
963cd3f7976c invalidated former constructors None/OPTION to prevent accidental use as match-all patterns!
wenzelm
parents: 15570
diff changeset
   345
exception OPTION of invalid;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   346
15970
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   347
val the = Option.valOf;
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   348
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   349
(*strict!*)
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   350
fun if_none NONE y = y
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   351
  | if_none (SOME x) _ = x;
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   352
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   353
fun is_some (SOME _) = true
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   354
  | is_some NONE = false;
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   355
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   356
fun is_none (SOME _) = false
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   357
  | is_none NONE = true;
b8855873d234 removed rev_append;
wenzelm
parents: 15965
diff changeset
   358
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   359
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   360
(* exception handling *)
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   361
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   362
exception ERROR;
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   363
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   364
fun try f x = SOME (f x)
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   365
  handle Interrupt => raise Interrupt | ERROR => raise ERROR | _ => NONE;
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   366
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   367
fun can f x = is_some (try f x);
4139
e1659fd7a221 fixed exception OPTION;
wenzelm
parents: 4102
diff changeset
   368
e1659fd7a221 fixed exception OPTION;
wenzelm
parents: 4102
diff changeset
   369
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   370
datatype 'a result =
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   371
  Result of 'a |
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   372
  Exn of exn;
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   373
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   374
fun capture f x = Result (f x) handle e => Exn e;
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   375
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   376
fun release (Result y) = y
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   377
  | release (Exn e) = raise e;
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   378
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   379
fun get_result (Result x) = SOME x
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   380
  | get_result _ = NONE;
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   381
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   382
fun get_exn (Exn exn) = SOME exn
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   383
  | get_exn _ = NONE;
14868
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   384
617e4b19a2e5 tuned exeption handling (capture/release);
wenzelm
parents: 14826
diff changeset
   385
4139
e1659fd7a221 fixed exception OPTION;
wenzelm
parents: 4102
diff changeset
   386
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   387
(** pairs **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   388
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   389
fun pair x y = (x, y);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   390
fun rpair x y = (y, x);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   391
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   392
fun fst (x, y) = x;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   393
fun snd (x, y) = y;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   394
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   395
fun eq_fst ((x1, _), (x2, _)) = x1 = x2;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   396
fun eq_snd ((_, y1), (_, y2)) = y1 = y2;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   397
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   398
fun swap (x, y) = (y, x);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   399
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   400
(*apply function to components*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   401
fun apfst f (x, y) = (f x, y);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   402
fun apsnd f (x, y) = (x, f y);
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   403
fun pairself f (x, y) = (f x, f y);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   404
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   405
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   406
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   407
(** booleans **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   408
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   409
(* equality *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   410
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   411
fun equal x y = x = y;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   412
fun not_equal x y = x <> y;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   413
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   414
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   415
(* operators for combining predicates *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   416
16721
wenzelm
parents: 16705
diff changeset
   417
fun p orf q = fn x => p x orelse q x;
wenzelm
parents: 16705
diff changeset
   418
fun p andf q = fn x => p x andalso q x;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   419
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   420
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   421
(* predicates on lists *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   422
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   423
(*exists pred [x1, ..., xn] ===> pred x1 orelse ... orelse pred xn*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   424
fun exists (pred: 'a -> bool) : 'a list -> bool =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   425
  let fun boolf [] = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   426
        | boolf (x :: xs) = pred x orelse boolf xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   427
  in boolf end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   428
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   429
(*forall pred [x1, ..., xn] ===> pred x1 andalso ... andalso pred xn*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   430
fun forall (pred: 'a -> bool) : 'a list -> bool =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   431
  let fun boolf [] = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   432
        | boolf (x :: xs) = pred x andalso boolf xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   433
  in boolf end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   434
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   435
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   436
(* flags *)
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   437
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   438
fun set flag = (flag := true; true);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   439
fun reset flag = (flag := false; false);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   440
fun toggle flag = (flag := not (! flag); ! flag);
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   441
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   442
fun change r f = r := f (! r);
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   443
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   444
(*temporarily set flag, handling exceptions*)
2978
83a4c4f79dcd renamed set_ap to setmp;
wenzelm
parents: 2958
diff changeset
   445
fun setmp flag value f x =
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   446
  let
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   447
    val orig_value = ! flag;
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   448
    fun return y = (flag := orig_value; y);
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   449
  in
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   450
    flag := value;
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   451
    return (f x handle exn => (return (); raise exn))
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   452
  end;
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   453
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   454
11853
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   455
(* conditional execution *)
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   456
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   457
fun conditional b f = if b then f () else ();
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   458
651650b717e1 conditional: bool -> (unit -> unit) -> unit;
wenzelm
parents: 11773
diff changeset
   459
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   460
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   461
(** lists **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   462
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   463
exception UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   464
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   465
fun cons x xs = x :: xs;
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   466
fun single x = [x];
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   467
4629
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   468
fun append xs ys = xs @ ys;
401dd9b1b548 added append (curried);
wenzelm
parents: 4621
diff changeset
   469
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   470
fun apply [] x = x
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   471
  | apply (f :: fs) x = apply fs (f x);
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
   472
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   473
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   474
(* fold *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   475
16654
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   476
fun fold f =
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   477
  let
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   478
    fun fold_aux [] y = y
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   479
      | fold_aux (x :: xs) y = fold_aux xs (f x y);
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   480
  in fold_aux end;
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   481
16654
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   482
fun fold_rev f =
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   483
  let
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   484
    fun fold_aux [] y = y
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   485
      | fold_aux (x :: xs) y = f x (fold_aux xs y);
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   486
  in fold_aux end;
d964cbaa6c1c low-level tuning of fold, fold_rev, foldl_map;
wenzelm
parents: 16535
diff changeset
   487
16869
bc98da5727be reverted from fold_yield to fold_map
haftmann
parents: 16842
diff changeset
   488
fun fold_map f =
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   489
  let
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   490
    fun fold_aux [] y = ([], y)
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   491
      | fold_aux (x :: xs) y =
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   492
          let
16705
wenzelm
parents: 16694
diff changeset
   493
            val (x', y') = f x y;
wenzelm
parents: 16694
diff changeset
   494
            val (xs', y'') = fold_aux xs y';
16691
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   495
          in (x' :: xs', y'') end;
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   496
  in fold_aux end;
539b9cc282fa added combinatros '||>' and '||>>' and fold_map fitting nicely to ST combinator '|->'
haftmann
parents: 16688
diff changeset
   497
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   498
(*the following versions of fold are designed to fit nicely with infixes*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   499
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   500
(*  (op @) (e, [x1, ..., xn])  ===>  ((e @ x1) @ x2) ... @ xn
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   501
    for operators that associate to the left (TAIL RECURSIVE)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   502
fun foldl (f: 'a * 'b -> 'a) : 'a * 'b list -> 'a =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   503
  let fun itl (e, [])  = e
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   504
        | itl (e, a::l) = itl (f(e, a), l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   505
  in  itl end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   506
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   507
(*  (op @) ([x1, ..., xn], e)  ===>   x1 @ (x2 ... @ (xn @ e))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   508
    for operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   509
fun foldr f (l, e) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   510
  let fun itr [] = e
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   511
        | itr (a::l) = f(a, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   512
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   513
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   514
(*  (op @) [x1, ..., xn]  ===>   x1 @ (x2 ... @ (x[n-1] @ xn))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   515
    for n > 0, operators that associate to the right (not tail recursive)*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   516
fun foldr1 f l =
4181
wenzelm
parents: 4139
diff changeset
   517
  let fun itr [x] = x
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   518
        | itr (x::l) = f(x, itr l)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   519
  in  itr l  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   520
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   521
fun foldln f xs e = fst (foldl (fn ((e,i), x) => (f (x,i) e, i+1)) ((e,1),xs));
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   522
16705
wenzelm
parents: 16694
diff changeset
   523
fun foldl_map f =
wenzelm
parents: 16694
diff changeset
   524
  let
wenzelm
parents: 16694
diff changeset
   525
    fun fold_aux (x, []) = (x, [])
wenzelm
parents: 16694
diff changeset
   526
      | fold_aux (x, y :: ys) =
wenzelm
parents: 16694
diff changeset
   527
          let
wenzelm
parents: 16694
diff changeset
   528
            val (x', y') = f (x, y);
wenzelm
parents: 16694
diff changeset
   529
            val (x'', ys') = fold_aux (x', ys);
wenzelm
parents: 16694
diff changeset
   530
          in (x'', y' :: ys') end;
wenzelm
parents: 16694
diff changeset
   531
  in fold_aux end;
wenzelm
parents: 16694
diff changeset
   532
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   533
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   534
(* basic list functions *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   535
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   536
(*take the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   537
fun take (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   538
  | take (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   539
      if n > 0 then x :: take (n - 1, xs) else [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   540
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   541
(*drop the first n elements from a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   542
fun drop (n, []) = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   543
  | drop (n, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   544
      if n > 0 then drop (n - 1, xs) else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   545
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   546
fun splitAt(n,[]) = ([],[])
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   547
  | splitAt(n,xs as x::ys) =
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   548
      if n>0 then let val (ps,qs) = splitAt(n-1,ys) in (x::ps,qs) end
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   549
      else ([],xs)
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   550
4713
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   551
fun dropwhile P [] = []
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   552
  | dropwhile P (ys as x::xs) = if P x then dropwhile P xs else ys;
bea2ab2e360b New simplifier flag for mutual simplification.
nipkow
parents: 4692
diff changeset
   553
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   554
(*return nth element of a list, where 0 designates the first element;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   555
  raise EXCEPTION if list too short*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   556
fun nth_elem (i,xs) = List.nth(xs,i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   557
11773
983d2db52062 map_nth_elem;
wenzelm
parents: 11514
diff changeset
   558
fun map_nth_elem 0 f (x :: xs) = f x :: xs
983d2db52062 map_nth_elem;
wenzelm
parents: 11514
diff changeset
   559
  | map_nth_elem n f (x :: xs) = x :: map_nth_elem (n - 1) f xs
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   560
  | map_nth_elem _ _ [] = raise Subscript;
11773
983d2db52062 map_nth_elem;
wenzelm
parents: 11514
diff changeset
   561
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   562
(*last element of a list*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   563
val last_elem = List.last;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   564
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   565
(*rear decomposition*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   566
fun split_last [] = raise Empty
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   567
  | split_last [x] = ([], x)
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   568
  | split_last (x :: xs) = apfst (cons x) (split_last xs);
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   569
4893
df9d6eef16d5 added nth_update: 'a -> int * 'a list -> 'a list;
wenzelm
parents: 4849
diff changeset
   570
(*update nth element*)
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   571
fun nth_update x n_xs =
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   572
    (case splitAt n_xs of
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   573
      (_,[]) => raise Subscript
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   574
    | (prfx, _ :: sffx') => prfx @ (x :: sffx'))
4893
df9d6eef16d5 added nth_update: 'a -> int * 'a list -> 'a list;
wenzelm
parents: 4849
diff changeset
   575
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   576
(*find the position of an element in a list*)
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   577
fun find_index pred =
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   578
  let fun find _ [] = ~1
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   579
        | find n (x :: xs) = if pred x then n else find (n + 1) xs;
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   580
  in find 0 end;
3762
f20b071a429a added split_last;
wenzelm
parents: 3699
diff changeset
   581
4224
79e205c3a82c made SML/NJ happy;
wenzelm
parents: 4212
diff changeset
   582
fun find_index_eq x = find_index (equal x);
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   583
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   584
(*find first element satisfying predicate*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   585
fun find_first _ [] = NONE
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   586
  | find_first pred (x :: xs) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   587
      if pred x then SOME x else find_first pred xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   588
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   589
(*get first element by lookup function*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   590
fun get_first _ [] = NONE
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   591
  | get_first f (x :: xs) =
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   592
      (case f x of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   593
        NONE => get_first f xs
4916
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   594
      | some => some);
fe8b0c82691b get_first: ('a -> 'b option) -> 'a list -> 'b option;
wenzelm
parents: 4893
diff changeset
   595
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   596
(*flatten a list of lists to a list*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   597
val flat = List.concat;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   598
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   599
fun unflat (xs :: xss) ys =
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   600
      let val (ps,qs) = splitAt(length xs,ys)
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
   601
      in ps :: unflat xss qs end
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   602
  | unflat [] [] = []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   603
  | unflat _ _ = raise UnequalLengths;
12136
74156e7bb22e added unflat;
wenzelm
parents: 11853
diff changeset
   604
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   605
(*like Lisp's MAPC -- seq proc [x1, ..., xn] evaluates
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   606
  (proc x1; ...; proc xn) for side effects*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   607
val seq = List.app;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   608
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   609
(*separate s [x1, x2, ..., xn]  ===>  [x1, s, x2, s, ..., s, xn]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   610
fun separate s (x :: (xs as _ :: _)) = x :: s :: separate s xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   611
  | separate _ xs = xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   612
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   613
(*make the list [x, x, ..., x] of length n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   614
fun replicate n (x: 'a) : 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   615
  let fun rep (0, xs) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   616
        | rep (n, xs) = rep (n - 1, x :: xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   617
  in
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   618
    if n < 0 then raise Subscript
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   619
    else rep (n, [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   620
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   621
14926
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   622
fun translate_string f = String.translate (f o String.str);
d2baf4b79424 added translate_string;
wenzelm
parents: 14868
diff changeset
   623
4248
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   624
(*multiply [a, b, c, ...] * [xs, ys, zs, ...]*)
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   625
fun multiply ([], _) = []
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   626
  | multiply (x :: xs, yss) = map (cons x) yss @ multiply (xs, yss);
5e8a31c41d44 added get_error: 'a error -> string option, get_ok: 'a error -> 'a option;
wenzelm
parents: 4224
diff changeset
   627
14792
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   628
(*direct product*)
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   629
fun product _ [] = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   630
  | product [] _ = []
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   631
  | product (x :: xs) ys = map (pair x) ys @ product xs ys;
b7dac2fae5bb added fold, product; removed transitive_closure;
wenzelm
parents: 14618
diff changeset
   632
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   633
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   634
(* filter *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   635
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   636
(*copy the list preserving elements that satisfy the predicate*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   637
val filter = List.filter;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   638
fun filter_out f = filter (not o f);
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   639
val mapfilter = List.mapPartial;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   640
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   641
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   642
(* lists of pairs *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   643
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   644
exception UnequalLengths;
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   645
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   646
fun map2 _ ([], []) = []
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
   647
  | map2 f (x :: xs, y :: ys) = f (x, y) :: map2 f (xs, ys)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   648
  | map2 _ _ = raise UnequalLengths;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   649
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   650
fun exists2 _ ([], []) = false
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   651
  | exists2 pred (x :: xs, y :: ys) = pred (x, y) orelse exists2 pred (xs, ys)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   652
  | exists2 _ _ = raise UnequalLengths;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   653
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   654
fun forall2 _ ([], []) = true
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   655
  | forall2 pred (x :: xs, y :: ys) = pred (x, y) andalso forall2 pred (xs, ys)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   656
  | forall2 _ _ = raise UnequalLengths;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   657
4956
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
   658
fun seq2 _ ([], []) = ()
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
   659
  | seq2 f (x :: xs, y :: ys) = (f (x, y); seq2 f (xs, ys))
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   660
  | seq2 _ _ = raise UnequalLengths;
4956
a7538e43896e added foldl_map: ('a * 'b -> 'a * 'c) -> 'a * 'b list -> 'a * 'c list;
wenzelm
parents: 4945
diff changeset
   661
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   662
(*combine two lists forming a list of pairs:
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   663
  [x1, ..., xn] ~~ [y1, ..., yn]  ===>  [(x1, y1), ..., (xn, yn)]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   664
fun [] ~~ [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   665
  | (x :: xs) ~~ (y :: ys) = (x, y) :: (xs ~~ ys)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   666
  | _ ~~ _ = raise UnequalLengths;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   667
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   668
(*inverse of ~~; the old 'split':
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   669
  [(x1, y1), ..., (xn, yn)]  ===>  ([x1, ..., xn], [y1, ..., yn])*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   670
val split_list = ListPair.unzip;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   671
7468
6ce03d2f7d91 equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool;
wenzelm
parents: 7090
diff changeset
   672
fun equal_lists eq (xs, ys) = length xs = length ys andalso forall2 eq (xs, ys);
6ce03d2f7d91 equal_lists: ('a * 'b -> bool) -> 'a list * 'b list -> bool;
wenzelm
parents: 7090
diff changeset
   673
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   674
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   675
(* prefixes, suffixes *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   676
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   677
fun [] prefix _ = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   678
  | (x :: xs) prefix (y :: ys) = x = y andalso (xs prefix ys)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   679
  | _ prefix _ = false;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   680
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   681
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., x(i-1)], [xi, ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   682
   where xi is the first element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   683
fun take_prefix (pred : 'a -> bool)  (xs: 'a list) : 'a list * 'a list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   684
  let fun take (rxs, []) = (rev rxs, [])
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   685
        | take (rxs, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   686
            if  pred x  then  take(x :: rxs, xs)  else  (rev rxs, x :: xs)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   687
  in  take([], xs)  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   688
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   689
(* [x1, ..., xi, ..., xn]  --->  ([x1, ..., xi], [x(i+1), ..., xn])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   690
   where xi is the last element that does not satisfy the predicate*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   691
fun take_suffix _ [] = ([], [])
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   692
  | take_suffix pred (x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   693
      (case take_suffix pred xs of
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   694
        ([], sffx) => if pred x then ([], x :: sffx) else ([x], sffx)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   695
      | (prfx, sffx) => (x :: prfx, sffx));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   696
12249
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   697
fun prefixes1 [] = []
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   698
  | prefixes1 (x :: xs) = map (cons x) ([] :: prefixes1 xs);
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   699
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   700
fun suffixes1 xs = map rev (prefixes1 (rev xs));
dd9a51255855 added prefixes1, suffixes1;
wenzelm
parents: 12136
diff changeset
   701
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   702
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   703
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   704
(** integers **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   705
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   706
fun gcd (x, y) =
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
   707
  let fun gxd x y : IntInf.int =
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   708
    if y = 0 then x else gxd y (x mod y)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   709
  in if x < y then gxd y x else gxd x y end;
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   710
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   711
fun lcm (x, y) = (x * y) div gcd (x, y);
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
   712
2958
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   713
fun inc i = (i := ! i + 1; ! i);
7837471d2f27 improved inc, dec;
wenzelm
parents: 2806
diff changeset
   714
fun dec i = (i := ! i - 1; ! i);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   715
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   716
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   717
(* lists of integers *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   718
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   719
(*make the list [from, from + 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   720
fun (from upto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   721
  if from > to then [] else from :: ((from + 1) upto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   722
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   723
(*make the list [from, from - 1, ..., to]*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   724
fun (from downto to) =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   725
  if from < to then [] else from :: ((from - 1) downto to);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   726
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   727
(*predicate: downto0 (is, n) <=> is = [n, n - 1, ..., 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   728
fun downto0 (i :: is, n) = i = n andalso downto0 (is, n - 1)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   729
  | downto0 ([], n) = n = ~1;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   730
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   731
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   732
(* convert integers to strings *)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   733
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   734
(*expand the number in the given base;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   735
  example: radixpand (2, 8) gives [1, 0, 0, 0]*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   736
fun radixpand (base, num) : int list =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   737
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   738
    fun radix (n, tail) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   739
      if n < base then n :: tail
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   740
      else radix (n div base, (n mod base) :: tail)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   741
  in radix (num, []) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   742
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   743
(*expands a number into a string of characters starting from "zerochar";
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   744
  example: radixstring (2, "0", 8) gives "1000"*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   745
fun radixstring (base, zerochar, num) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   746
  let val offset = ord zerochar;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   747
      fun chrof n = chr (offset + n)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   748
  in implode (map chrof (radixpand (base, num))) end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   749
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   750
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   751
val string_of_int = Int.toString;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   752
3407
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   753
fun string_of_indexname (a,0) = a
afd288caf573 Removal of radixstring from string_of_int; addition of string_of_indexname
paulson
parents: 3393
diff changeset
   754
  | string_of_indexname (a,i) = a ^ "_" ^ Int.toString i;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   755
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   756
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   757
(* read integers *)
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   758
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   759
fun read_radixint (radix: int, cs) : int * string list =
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   760
  let val zero = ord"0"
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   761
      val limit = zero+radix
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   762
      fun scan (num,[]) = (num,[])
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   763
        | scan (num, c::cs) =
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   764
              if  zero <= ord c  andalso  ord c < limit
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   765
              then scan(radix*num + ord c - zero, cs)
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   766
              else (num, c::cs)
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   767
  in  scan(0,cs)  end;
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   768
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   769
fun read_int cs = read_radixint (10, cs);
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   770
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   771
fun oct_char s = chr (#1 (read_radixint (8, explode s)));
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   772
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   773
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   774
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   775
(** strings **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   776
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   777
(* functions tuned for strings, avoiding explode *)
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   778
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   779
fun nth_elem_string (i, str) =
6959
d33b1629eaf9 try/can: pass Interrupt and ERROR;
wenzelm
parents: 6642
diff changeset
   780
  (case try String.substring (str, i, 1) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
   781
    SOME s => s
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   782
  | NONE => raise Subscript);
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   783
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   784
fun fold_string f str x0 =
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   785
  let
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   786
    val n = size str;
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   787
    fun iter (x, i) =
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   788
      if i < n then iter (f (String.substring (str, i, 1)) x, i + 1) else x;
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   789
  in iter (x0, 0) end;
6282
589671bebbb3 foldl_string;
wenzelm
parents: 5966
diff changeset
   790
14968
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   791
fun exists_string pred str =
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   792
  let
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   793
    val n = size str;
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   794
    fun ex i = i < n andalso (pred (String.substring (str, i, 1)) orelse ex (i + 1));
9db3d2be8cdf tuned exists_string;
wenzelm
parents: 14926
diff changeset
   795
  in ex 0 end;
6312
d361b0a99e31 added nth_elem_string, exists_string;
wenzelm
parents: 6282
diff changeset
   796
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   797
fun forall_string pred = not o exists_string (not o pred);
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   798
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   799
(*enclose in brackets*)
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   800
fun enclose lpar rpar str = lpar ^ str ^ rpar;
6642
732af87c0650 strip_quotes replaced by unenclose;
wenzelm
parents: 6510
diff changeset
   801
fun unenclose str = String.substring (str, 1, size str - 2);
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   802
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   803
(*simple quoting (does not escape special chars)*)
512
55755ed9fab9 Pure/library/enclose, Pure/Syntax/pretty/enclose: renamed from parents
lcp
parents: 410
diff changeset
   804
val quote = enclose "\"" "\"";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   805
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   806
(*space_implode "..." (explode "hello") = "h...e...l...l...o"*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   807
fun space_implode a bs = implode (separate a bs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   808
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   809
val commas = space_implode ", ";
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
   810
val commas_quote = commas o map quote;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   811
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   812
(*concatenate messages, one per line, into a string*)
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   813
val cat_lines = space_implode "\n";
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   814
4212
68c7b37f8721 major cleanup;
wenzelm
parents: 4194
diff changeset
   815
(*space_explode "." "h.e..l.lo" = ["h", "e", "", "l", "lo"]*)
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   816
fun space_explode _ "" = []
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   817
  | space_explode sep str =
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   818
      let
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   819
        fun expl chs =
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   820
          (case take_prefix (not_equal sep) chs of
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   821
            (cs, []) => [implode cs]
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   822
          | (cs, _ :: cs') => implode cs :: expl cs');
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   823
      in expl (explode str) end;
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   824
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   825
val split_lines = space_explode "\n";
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   826
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   827
fun prefix_lines "" txt = txt
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   828
  | prefix_lines prfx txt = txt |> split_lines |> map (fn s => prfx ^ s) |> cat_lines;
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
   829
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   830
fun untabify chs =
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   831
  let
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   832
    val tab_width = 8;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   833
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   834
    fun untab (_, "\n") = (0, ["\n"])
9118
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   835
      | untab (pos, "\t") =
62367f8fef02 added change: 'a ref -> ('a -> 'a) -> unit;
wenzelm
parents: 8999
diff changeset
   836
          let val d = tab_width - (pos mod tab_width) in (pos + d, replicate d " ") end
7712
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   837
      | untab (pos, c) = (pos + 1, [c]);
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   838
  in
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   839
    if not (exists (equal "\t") chs) then chs
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   840
    else flat (#2 (foldl_map untab (0, chs)))
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   841
  end;
c522ec2adc37 added untabify;
wenzelm
parents: 7468
diff changeset
   842
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   843
fun suffix sffx s = s ^ sffx;
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   844
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   845
fun unsuffix sffx s =
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   846
  let val m = size sffx; val n = size s - m in
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   847
    if n >= 0 andalso String.substring (s, n, m) = sffx then String.substring (s, 0, n)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   848
    else raise Fail "unsuffix"
5285
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   849
  end;
2d1425492fb3 val single: 'a -> 'a list;
wenzelm
parents: 5112
diff changeset
   850
15060
7b4abcfae4e1 Added function unprefix.
berghofe
parents: 15051
diff changeset
   851
fun unprefix prfx s =
16188
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   852
  let val m = size prfx; val n = size s - m in
841342a7c41c replaced foldl_string by fold_string;
wenzelm
parents: 16129
diff changeset
   853
    if String.isPrefix prfx s then String.substring (s, m, n)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   854
    else raise Fail "unprefix"
15060
7b4abcfae4e1 Added function unprefix.
berghofe
parents: 15051
diff changeset
   855
  end;
7b4abcfae4e1 Added function unprefix.
berghofe
parents: 15051
diff changeset
   856
10951
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   857
fun replicate_string 0 _ = ""
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   858
  | replicate_string 1 a = a
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   859
  | replicate_string k a =
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   860
      if k mod 2 = 0 then replicate_string (k div 2) (a ^ a)
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   861
      else replicate_string (k div 2) (a ^ a) ^ a;
ddb9b820d8a5 added replicate_string;
wenzelm
parents: 10692
diff changeset
   862
3832
17a20a2af8f5 fixed space_explode, old one retained as BAD_space_explode;
wenzelm
parents: 3762
diff changeset
   863
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   864
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   865
(** lists as sets -- see also Pure/General/ord_list.ML **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   866
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   867
(*membership in a list*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   868
fun x mem [] = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   869
  | x mem (y :: ys) = x = y orelse x mem ys;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   870
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   871
(*membership in a list, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   872
fun (x:int) mem_int [] = false
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   873
  | x mem_int (y :: ys) = x = y orelse x mem_int ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   874
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   875
(*membership in a list, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   876
fun (x:string) mem_string [] = false
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   877
  | x mem_string (y :: ys) = x = y orelse x mem_string ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   878
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   879
(*generalized membership test*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   880
fun gen_mem eq (x, []) = false
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   881
  | gen_mem eq (x, y :: ys) = eq (x, y) orelse gen_mem eq (x, ys);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   882
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   883
(*member, insert, and remove -- with canonical argument order*)
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
   884
fun member eq xs x = gen_mem eq (x, xs);
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   885
fun insert eq x xs = if gen_mem eq (x, xs) then xs else x :: xs;
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   886
fun remove eq x xs = if gen_mem eq (x, xs) then filter_out (fn y => eq (x, y)) xs else xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   887
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   888
(*insertion into list if not already there*)
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   889
fun (x ins xs) = if x mem xs then xs else x :: xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   890
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   891
(*insertion into list, optimized version for ints*)
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   892
fun (x ins_int xs) = if x mem_int xs then xs else x :: xs;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   893
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   894
(*insertion into list, optimized version for strings*)
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   895
fun (x ins_string xs) = if x mem_string xs then xs else x :: xs;
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   896
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   897
(*generalized insertion*)
15760
1ca99038c847 clarified insert/remove;
wenzelm
parents: 15745
diff changeset
   898
fun gen_ins eq (x, xs) = insert eq x xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   899
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   900
(*union of sets represented as lists: no repetitions*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   901
fun xs union [] = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   902
  | [] union ys = ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   903
  | (x :: xs) union ys = xs union (x ins ys);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   904
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   905
(*union of sets, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   906
fun (xs:int list) union_int [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   907
  | [] union_int ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   908
  | (x :: xs) union_int ys = xs union_int (x ins_int ys);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   909
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   910
(*union of sets, optimized version for strings*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   911
fun (xs:string list) union_string [] = xs
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   912
  | [] union_string ys = ys
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   913
  | (x :: xs) union_string ys = xs union_string (x ins_string ys);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   914
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   915
(*generalized union*)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   916
fun gen_union eq (xs, []) = xs
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   917
  | gen_union eq ([], ys) = ys
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   918
  | gen_union eq (x :: xs, ys) = gen_union eq (xs, gen_ins eq (x, ys));
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   919
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   920
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   921
(*intersection*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   922
fun [] inter ys = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   923
  | (x :: xs) inter ys =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   924
      if x mem ys then x :: (xs inter ys) else xs inter ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   925
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   926
(*intersection, optimized version for ints*)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   927
fun ([]:int list) inter_int ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   928
  | (x :: xs) inter_int ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   929
      if x mem_int ys then x :: (xs inter_int ys) else xs inter_int ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   930
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   931
(*intersection, optimized version for strings *)
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   932
fun ([]:string list) inter_string ys = []
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   933
  | (x :: xs) inter_string ys =
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   934
      if x mem_string ys then x :: (xs inter_string ys) else xs inter_string ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   935
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   936
(*generalized intersection*)
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   937
fun gen_inter eq ([], ys) = []
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   938
  | gen_inter eq (x::xs, ys) =
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   939
      if gen_mem eq (x,ys) then x :: gen_inter eq (xs, ys)
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
   940
                           else      gen_inter eq (xs, ys);
7090
dd30a72880c7 added gen_inter
paulson
parents: 6959
diff changeset
   941
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   942
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   943
(*subset*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   944
fun [] subset ys = true
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   945
  | (x :: xs) subset ys = x mem ys andalso xs subset ys;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   946
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   947
(*subset, optimized version for ints*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   948
fun ([]: int list) subset_int ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   949
  | (x :: xs) subset_int ys = x mem_int ys andalso xs subset_int ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   950
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
   951
(*subset, optimized version for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   952
fun ([]: string list) subset_string ys = true
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   953
  | (x :: xs) subset_string ys = x mem_string ys andalso xs subset_string ys;
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   954
4363
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   955
(*set equality*)
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   956
fun eq_set (xs, ys) =
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   957
  xs = ys orelse (xs subset ys andalso ys subset xs);
b449831f03f4 added eq_set;
wenzelm
parents: 4343
diff changeset
   958
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   959
(*set equality for strings*)
16439
0509ef1b1ec3 added serial numbers;
wenzelm
parents: 16188
diff changeset
   960
fun eq_set_string ((xs: string list), ys) =
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   961
  xs = ys orelse (xs subset_string ys andalso ys subset_string xs);
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
   962
2182
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   963
fun gen_subset eq (xs, ys) = forall (fn x => gen_mem eq (x, ys)) xs;
29e56f003599 Removal of polymorphic equality via mem, subset, eq_set, etc
paulson
parents: 2175
diff changeset
   964
265
443dc2c37583 added eq_set;
wenzelm
parents: 255
diff changeset
   965
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   966
(*removing an element from a list WITHOUT duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   967
fun (y :: ys) \ x = if x = y then ys else y :: (ys \ x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   968
  | [] \ x = [];
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   969
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   970
fun ys \\ xs = foldl (op \) (ys,xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   971
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   972
(*removing an element from a list -- possibly WITH duplicates*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   973
fun gen_rem eq (xs, y) = filter_out (fn x => eq (x, y)) xs;
12295
83f747db967c clarified order in gen_merge_lists';
wenzelm
parents: 12284
diff changeset
   974
fun gen_rems eq (xs, ys) = filter_out (fn x => gen_mem eq (x, ys)) xs;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   975
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   976
(*makes a list of the distinct members of the input; preserves order, takes
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   977
  first of equal elements*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   978
fun gen_distinct eq lst =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   979
  let
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   980
    val memb = gen_mem eq;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   981
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   982
    fun dist (rev_seen, []) = rev rev_seen
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   983
      | dist (rev_seen, x :: xs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   984
          if memb (x, rev_seen) then dist (rev_seen, xs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   985
          else dist (x :: rev_seen, xs);
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   986
  in
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   987
    dist ([], lst)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   988
  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   989
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
   990
fun distinct l = gen_distinct (op =) l;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   991
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   992
(*returns the tail beginning with the first repeated element, or []*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   993
fun findrep [] = []
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   994
  | findrep (x :: xs) = if x mem xs then x :: xs else findrep xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   995
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
   996
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   997
(*returns a list containing all repeated elements exactly once; preserves
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   998
  order, takes first of equal elements*)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
   999
fun gen_duplicates eq lst =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1000
  let
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1001
    val memb = gen_mem eq;
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1002
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1003
    fun dups (rev_dups, []) = rev rev_dups
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1004
      | dups (rev_dups, x :: xs) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1005
          if memb (x, rev_dups) orelse not (memb (x, xs)) then
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1006
            dups (rev_dups, xs)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1007
          else dups (x :: rev_dups, xs);
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1008
  in
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1009
    dups ([], lst)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1010
  end;
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1011
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1012
fun duplicates l = gen_duplicates (op =) l;
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1013
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1014
fun has_duplicates eq =
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1015
  let
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1016
    fun dups [] = false
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1017
      | dups (x :: xs) = member eq xs x orelse dups xs;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1018
  in dups end;
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1019
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1020
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1021
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1022
(** association lists **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1023
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1024
(*association list lookup*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1025
fun assoc ([], key) = NONE
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1026
  | assoc ((keyi, xi) :: pairs, key) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1027
      if key = keyi then SOME xi else assoc (pairs, key);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1028
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
  1029
(*association list lookup, optimized version for ints*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1030
fun assoc_int ([], (key:int)) = NONE
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1031
  | assoc_int ((keyi, xi) :: pairs, key) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1032
      if key = keyi then SOME xi else assoc_int (pairs, key);
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1033
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
  1034
(*association list lookup, optimized version for strings*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1035
fun assoc_string ([], (key:string)) = NONE
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1036
  | assoc_string ((keyi, xi) :: pairs, key) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1037
      if key = keyi then SOME xi else assoc_string (pairs, key);
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1038
2175
21fde76bc742 Updated syntax; shortened comments; put in monomorphic versions of ins
paulson
parents: 2157
diff changeset
  1039
(*association list lookup, optimized version for string*ints*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1040
fun assoc_string_int ([], (key:string*int)) = NONE
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1041
  | assoc_string_int ((keyi, xi) :: pairs, key) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1042
      if key = keyi then SOME xi else assoc_string_int (pairs, key);
1576
af8f43f742a0 Added some optimized versions of functions dealing with sets
berghofe
parents: 1460
diff changeset
  1043
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1044
fun assocs ps x =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1045
  (case assoc (ps, x) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1046
    NONE => []
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1047
  | SOME ys => ys);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1048
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1049
(*two-fold association list lookup*)
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1050
fun assoc2 (aal, (key1, key2)) =
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1051
  (case assoc (aal, key1) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1052
    SOME al => assoc (al, key2)
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1053
  | NONE => NONE);
255
ee132db91681 added if_none, parents, commas, gen_duplicates, duplicates, assoc2;
wenzelm
parents: 245
diff changeset
  1054
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1055
(*generalized association list lookup*)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1056
fun gen_assoc eq ([], key) = NONE
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1057
  | gen_assoc eq ((keyi, xi) :: pairs, key) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15263
diff changeset
  1058
      if eq (key, keyi) then SOME xi else gen_assoc eq (pairs, key);
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1059
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1060
(*association list update*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1061
fun overwrite (al, p as (key, _)) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1062
  let fun over ((q as (keyi, _)) :: pairs) =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1063
            if keyi = key then p :: pairs else q :: (over pairs)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1064
        | over [] = [p]
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1065
  in over al end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1066
2522
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
  1067
fun gen_overwrite eq (al, p as (key, _)) =
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
  1068
  let fun over ((q as (keyi, _)) :: pairs) =
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
  1069
            if eq (keyi, key) then p :: pairs else q :: (over pairs)
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
  1070
        | over [] = [p]
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
  1071
  in over al end;
a1a18530c4ac added gen_overwrite;
wenzelm
parents: 2506
diff changeset
  1072
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1073
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1074
(* lists as tables *)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1075
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1076
fun gen_merge_lists _ xs [] = xs
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1077
  | gen_merge_lists _ [] ys = ys
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1078
  | gen_merge_lists eq xs ys = xs @ gen_rems eq (ys, xs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1079
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1080
fun gen_merge_lists' _ xs [] = xs
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1081
  | gen_merge_lists' _ [] ys = ys
12295
83f747db967c clarified order in gen_merge_lists';
wenzelm
parents: 12284
diff changeset
  1082
  | gen_merge_lists' eq xs ys = gen_rems eq (ys, xs) @ xs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1083
12284
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1084
fun merge_lists xs ys = gen_merge_lists (op =) xs ys;
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1085
fun merge_lists' xs ys = gen_merge_lists' (op =) xs ys;
131e743d168a added gen_merge_lists(') and merge_lists(');
wenzelm
parents: 12260
diff changeset
  1086
fun merge_alists al = gen_merge_lists eq_fst al;
15263
b40e91201039 Added function merge_alists'.
berghofe
parents: 15060
diff changeset
  1087
fun merge_alists' al = gen_merge_lists' eq_fst al;
380
daca5b594fb3 added infix op also: 'a * ('a -> 'b) -> 'b;
wenzelm
parents: 265
diff changeset
  1088
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1089
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1090
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1091
(** balanced trees **)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1092
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1093
exception Balance;      (*indicates non-positive argument to balancing fun*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1094
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1095
(*balanced folding; avoids deep nesting*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1096
fun fold_bal f [x] = x
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1097
  | fold_bal f [] = raise Balance
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1098
  | fold_bal f xs =
13629
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
  1099
      let val (ps,qs) = splitAt(length xs div 2, xs)
a46362d2b19b take/drop -> splitAt
nipkow
parents: 13488
diff changeset
  1100
      in  f (fold_bal f ps, fold_bal f qs)  end;
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1101
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1102
(*construct something of the form f(...g(...(x)...)) for balanced access*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1103
fun access_bal (f, g, x) n i =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1104
  let fun acc n i =     (*1<=i<=n*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1105
          if n=1 then x else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1106
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1107
          in  if i<=n2 then f (acc n2 i)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1108
                       else g (acc (n-n2) (i-n2))
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1109
          end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1110
  in  if 1<=i andalso i<=n then acc n i else raise Balance  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1111
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1112
(*construct ALL such accesses; could try harder to share recursive calls!*)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1113
fun accesses_bal (f, g, x) n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1114
  let fun acc n =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1115
          if n=1 then [x] else
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1116
          let val n2 = n div 2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1117
              val acc2 = acc n2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1118
          in  if n-n2=n2 then map f acc2 @ map g acc2
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1119
                         else map f acc2 @ map g (acc (n-n2)) end
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1120
  in  if 1<=n then acc n else raise Balance  end;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1121
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1122
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1123
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1124
(** orders **)
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1125
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1126
fun rev_order LESS = GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1127
  | rev_order EQUAL = EQUAL
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1128
  | rev_order GREATER = LESS;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1129
4479
708d7c26db5b improved comment;
wenzelm
parents: 4445
diff changeset
  1130
(*assume rel is a linear strict order*)
4445
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1131
fun make_ord rel (x, y) =
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1132
  if rel (x, y) then LESS
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1133
  else if rel (y, x) then GREATER
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1134
  else EQUAL;
de74b549f976 added rev_order, make_ord;
wenzelm
parents: 4363
diff changeset
  1135
15051
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
  1136
val int_ord = Int.compare;
0dbbab9f77fe int_ord = Int.compare, string_ord = String.compare;
wenzelm
parents: 15035
diff changeset
  1137
val string_ord = String.compare;
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1138
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1139
fun fast_string_ord (s1, s2) =
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1140
  (case int_ord (size s1, size s2) of EQUAL => string_ord (s1, s2) | ord => ord);
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1141
16492
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1142
fun option_ord ord (SOME x, SOME y) = ord (x, y)
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1143
  | option_ord _ (NONE, NONE) = EQUAL
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1144
  | option_ord _ (NONE, SOME _) = LESS
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1145
  | option_ord _ (SOME _, NONE) = GREATER;
fbfd15412f05 added member, option_ord;
wenzelm
parents: 16439
diff changeset
  1146
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1147
(*lexicographic product*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1148
fun prod_ord a_ord b_ord ((x, y), (x', y')) =
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1149
  (case a_ord (x, x') of EQUAL => b_ord (y, y') | ord => ord);
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1150
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1151
(*dictionary order -- in general NOT well-founded!*)
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1152
fun dict_ord elem_ord (x :: xs, y :: ys) =
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1153
      (case elem_ord (x, y) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord)
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1154
  | dict_ord _ ([], []) = EQUAL
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1155
  | dict_ord _ ([], _ :: _) = LESS
16984
abc48b981e60 tuned dict_ord;
wenzelm
parents: 16878
diff changeset
  1156
  | dict_ord _ (_ :: _, []) = GREATER;
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1157
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1158
(*lexicographic product of lists*)
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1159
fun list_ord elem_ord (xs, ys) =
16676
671bd433b9eb added fast_string_ord;
wenzelm
parents: 16654
diff changeset
  1160
  (case int_ord (length xs, length ys) of EQUAL => dict_ord elem_ord (xs, ys) | ord => ord);
4343
9849fb57c395 added prod_ord, dict_ord, list_ord;
wenzelm
parents: 4326
diff changeset
  1161
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1162
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1163
(* sorting *)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1164
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1165
(*quicksort (stable, i.e. does not reorder equal elements)*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1166
fun sort ord =
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1167
  let
16878
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1168
    fun qsort [] = []
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1169
      | qsort (xs as [_]) = xs
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1170
      | qsort (xs as [x, y]) = if ord (x, y) = GREATER then [y, x] else xs
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1171
      | qsort xs =
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1172
          let val (lts, eqs, gts) = part (nth_elem (length xs div 2, xs)) xs
07213f0e291f added has_duplicates;
wenzelm
parents: 16869
diff changeset
  1173
          in qsort lts @ eqs @ qsort gts end
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1174
    and part _ [] = ([], [], [])
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1175
      | part pivot (x :: xs) = add (ord (x, pivot)) x (part pivot xs)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1176
    and add LESS x (lts, eqs, gts) = (x :: lts, eqs, gts)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1177
      | add EQUAL x (lts, eqs, gts) = (lts, x :: eqs, gts)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1178
      | add GREATER x (lts, eqs, gts) = (lts, eqs, x :: gts);
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1179
  in qsort end;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1180
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1181
(*sort strings*)
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1182
val sort_strings = sort string_ord;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1183
fun sort_wrt sel xs = sort (string_ord o pairself sel) xs;
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1184
11514
a12def3d1847 Added function unique_strings.
berghofe
parents: 11021
diff changeset
  1185
fun unique_strings ([]: string list) = []
a12def3d1847 Added function unique_strings.
berghofe
parents: 11021
diff changeset
  1186
  | unique_strings [x] = [x]
a12def3d1847 Added function unique_strings.
berghofe
parents: 11021
diff changeset
  1187
  | unique_strings (x :: y :: ys) =
a12def3d1847 Added function unique_strings.
berghofe
parents: 11021
diff changeset
  1188
      if x = y then unique_strings (y :: ys)
a12def3d1847 Added function unique_strings.
berghofe
parents: 11021
diff changeset
  1189
      else x :: unique_strings (y :: ys);
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1190
2506
965127966331 added datatype order;
wenzelm
parents: 2471
diff changeset
  1191
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1192
(** random numbers **)
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1193
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1194
exception RANDOM;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1195
14618
068bb99f3ebd Fixed bug in rmod that caused an overflow exception in SML/NJ.
berghofe
parents: 14472
diff changeset
  1196
fun rmod x y = x - y * Real.realFloor (x / y);
14106
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1197
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1198
local
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1199
  val a = 16807.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1200
  val m = 2147483647.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1201
  val random_seed = ref 1.0;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1202
in
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1203
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1204
fun random () =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1205
  let val r = rmod (a * !random_seed) m
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1206
  in (random_seed := r; r) end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1207
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1208
end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1209
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1210
fun random_range l h =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1211
  if h < l orelse l < 0 then raise RANDOM
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1212
  else l + Real.floor (rmod (random ()) (real (h - l + 1)));
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1213
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1214
fun one_of xs = nth_elem (random_range 0 (length xs - 1), xs);
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1215
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1216
fun frequency xs =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1217
  let
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1218
    val sum = foldl op + (0, map fst xs);
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1219
    fun pick n ((k, x) :: xs) =
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1220
      if n <= k then x else pick (n - k) xs
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1221
  in pick (random_range 1 sum) xs end;
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1222
bbf708a7e27f Added several functions for producing random numbers.
berghofe
parents: 13794
diff changeset
  1223
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
  1224
(** current directory **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1225
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1226
val cd = OS.FileSys.chDir;
2317
672015b535d7 added pwd;
wenzelm
parents: 2303
diff changeset
  1227
val pwd = OS.FileSys.getDir;
2243
3ebeaaacfbd1 Eta-expanded some declarations that are illegal under value polymorphism
paulson
parents: 2196
diff changeset
  1228
3606
5d7073700fbc Added function "file_exists".
berghofe
parents: 3553
diff changeset
  1229
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1230
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1231
(** rational numbers **)
17028
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1232
(* Keep them normalized! *)
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1233
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
  1234
datatype rat = Rat of bool * IntInf.int * IntInf.int
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1235
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
  1236
exception RAT of string;
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
  1237
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1238
fun rep_rat(Rat(a,p,q)) = (if a then p else ~p,q)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1239
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1240
fun ratnorm(a,p,q) = if p=0 then Rat(a,0,1) else
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1241
  let val absp = abs p
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1242
      val m = gcd(absp,q)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1243
  in Rat(a = (0 <= p), absp div m, q div m) end;
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1244
17028
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1245
fun ratcommon(p,q,r,s) =
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1246
  let val den = lcm(q,s)
17028
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1247
  in (p*(den div q), r*(den div s), den) end
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1248
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1249
fun ratge0(Rat(a,p,q)) = a;
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1250
fun ratgt0(Rat(a,p,q)) = a andalso p > 0;
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1251
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1252
fun ratle(Rat(a,p,q),Rat(b,r,s)) =
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1253
  not a andalso b orelse
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1254
  a = b andalso
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1255
    let val (p,r,_) = ratcommon(p,q,r,s)
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1256
    in if a then p <= r else r <= p end
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1257
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1258
fun ratlt(Rat(a,p,q),Rat(b,r,s)) =
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1259
  not a andalso b orelse
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1260
  a = b andalso
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1261
    let val (p,r,_) = ratcommon(p,q,r,s)
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1262
    in if a then p < r else r < p end
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1263
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1264
fun ratadd(Rat(a,p,q),Rat(b,r,s)) =
17032
3e41d98bf6d4 fixed typo in ratadd
nipkow
parents: 17028
diff changeset
  1265
  let val (p,r,den) = ratcommon(p,q,r,s)
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1266
      val num = (if a then p else ~p) + (if b then r else ~r)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1267
  in ratnorm(true,num,den) end;
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1268
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1269
fun ratmul(Rat(a,p,q),Rat(b,r,s)) = ratnorm(a=b,p*r,q*s)
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1270
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
  1271
fun ratinv(Rat(a,p,q)) = if p=0 then raise RAT "ratinv" else Rat(a,q,p)
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1272
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1273
fun int_ratdiv(p,q) =
14826
48cfe0fe53e2 output channels and diagnostics moved to General/output.ML; added read_int etc. from term.ML; removed obsolete mtree; type rat uses exception RAT;
wenzelm
parents: 14797
diff changeset
  1274
  if q=0 then raise RAT "int_ratdiv" else ratnorm(0<=q, p, abs q)
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1275
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1276
fun ratneg(Rat(b,p,q)) = Rat(not b,p,q);
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1277
15965
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
  1278
fun rat_of_intinf i = if i < 0 then Rat(false,abs i,1) else Rat(true,i,1);
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
  1279
f422f8283491 Use of IntInf.int instead of int in most numeric simprocs; avoids
paulson
parents: 15760
diff changeset
  1280
fun rat_of_int i = rat_of_intinf (IntInf.fromInt i);
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1281
17028
a497f621bfd4 added more rat functions
nipkow
parents: 16984
diff changeset
  1282
val rat0 = rat_of_int 0; 
10692
6077fd933575 added rational arithmetic
nipkow
parents: 9830
diff changeset
  1283
4621
79e6a11ba8a9 added explicit signature;
wenzelm
parents: 4616
diff changeset
  1284
(** misc **)
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1285
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1286
(*use the keyfun to make a list of (x, key) pairs*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1287
fun make_keylist (keyfun: 'a->'b) : 'a list -> ('a * 'b) list =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1288
  let fun keypair x = (x, keyfun x)
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1289
  in map keypair end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1290
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1291
(*given a list of (x, key) pairs and a searchkey
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1292
  return the list of xs from each pair whose key equals searchkey*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1293
fun keyfilter [] searchkey = []
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1294
  | keyfilter ((x, key) :: pairs) searchkey =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1295
      if key = searchkey then x :: keyfilter pairs searchkey
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1296
      else keyfilter pairs searchkey;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1297
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1298
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1299
(*Partition list into elements that satisfy predicate and those that don't.
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1300
  Preserves order of elements in both lists.*)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1301
val partition = List.partition;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1302
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1303
fun partition_eq (eq:'a * 'a -> bool) =
16842
wenzelm
parents: 16825
diff changeset
  1304
  let
wenzelm
parents: 16825
diff changeset
  1305
    fun part [] = []
wenzelm
parents: 16825
diff changeset
  1306
      | part (x :: ys) =
wenzelm
parents: 16825
diff changeset
  1307
          let val (xs, xs') = partition (fn y => eq (x, y)) ys
wenzelm
parents: 16825
diff changeset
  1308
          in (x::xs)::(part xs') end
wenzelm
parents: 16825
diff changeset
  1309
  in part end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1310
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1311
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1312
(*Partition a list into buckets  [ bi, b(i+1), ..., bj ]
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1313
   putting x in bk if p(k)(x) holds.  Preserve order of elements if possible.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1314
fun partition_list p i j =
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1315
  let fun part k xs =
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1316
            if k>j then
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1317
              (case xs of [] => []
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1318
                         | _ => raise Fail "partition_list")
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1319
            else
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1320
            let val (ns, rest) = partition (p k) xs;
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1321
            in  ns :: part(k+1)rest  end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1322
  in  part i end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1323
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1324
233
efd6b4bb14dd major cleanup and reorganisation;
wenzelm
parents: 205
diff changeset
  1325
(* generating identifiers *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1326
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1327
(** Freshly generated identifiers; supplied prefix MUST start with a letter **)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1328
local
4063
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1329
(*Maps 0-63 to A-Z, a-z, 0-9 or _ or ' for generating random identifiers*)
0b19014b9155 Faster lexing
paulson
parents: 4046
diff changeset
  1330
fun char i =      if i<26 then chr (ord "A" + i)
5904
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1331
             else if i<52 then chr (ord "a" + i - 26)
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1332
             else if i<62 then chr (ord"0" + i - 52)
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1333
             else if i=62 then "_"
e077a0e66563 val apply: ('a -> 'a) list -> 'a -> 'a;
wenzelm
parents: 5893
diff changeset
  1334
             else  (*i=63*)    "'&